Home / 1,634.23-2,451.39-538.67

Finding the Fourth Proportional to 1,634.23, 2,451.39 and 538.67

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Solution

The fourth proportional to 1,634.23, 2,451.39 and 538.67 is: 808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.23 : 2,451.39 = 538.67 : x
  2. Step 2: Convert to fraction form
    1,634.23/2,451.39 = 538.67/x
  3. Step 3: Cross multiply
    1,634.23x = 2,451.39 × 538.67
  4. Step 4: Simplify right side
    1,634.23x = 1,320,490.25
  5. Step 5: Solve for x
    x = 1,320,490.25/1,634.23
  6. Step 6: Final answer
    x = 808.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.